Benchmark
non-incremental/QF_NRA/20200911-Pine/1599121901606581000.smt2
These benchmarks were generated while developing the tool Pine [1], which uses
CVC4/Z3 to check inductiveness of invariants. The work is described in [2].
[1] https://github.com/izycheva/pine
[2] A.Izycheva, E.Darulova, H.Seidl, SAS'20, "Counterexample- and Simulation-Guided Floating-Point Loop Invariant Synthesis"
Loop:
u' := u + 0.01 * v
v' := v + 0.01 * (-0.5 * v - 9.81 * (u - (u*u*u)/6.0 + (u*u*u*u*u)/120.0))
Input ranges:
u in [0.0,0.0]
v in [2.0,3.0]
Invariant:
-0.14*u + -0.03*v + 1.0*u^2 + 0.04*u*v + 0.1*v^2 <= 1.02
and
u in [-1.0,1.1]
v in [-3.1,3.2]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 2019 |
| Compressed Size | 975 |
| License |
Creative Commons Attribution 4.0 International
(CC-BY-4.0)
|
| Category | industrial |
| First Occurrence | 2021-07-18 |
| Generated By | Anastasiia Izycheva, Eva Darulova |
| Generated On | 2020-09-11 00:00:00 |
| Generator | Pine (using Z3 Python API) |
| Dolmen OK | 1 |
| strict Dolmen OK | 1 |
| check-sat calls | 1 |
| Status | unknown |
| Inferred Status | sat |
| Size | 2011 |
| Compressed Size | 985 |
| Max. Term Depth | 16 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 4 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
not | 1 |
and | 6 |
= | 2 |
let | 8 |
/ | 22 |
+ | 11 |
- | 11 |
* | 26 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
900.51100
|
900.05000
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
17.65910
|
17.65720
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02983
|
0.00746
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.68716
|
0.68707
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.07722
|
0.07592
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.03987
|
0.04010
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.29985
|
0.29990
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.31255
|
0.31259
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
1095.42478
|
1095.14732
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.52968
|
0.52147
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
484.82142
|
484.62524
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.31256
|
0.19305
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.61747
|
0.53635
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.28369
|
0.16672
|
| |
|
z3siri-base |
sat ✅
|
0.31974
|
0.18254
|